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Measuring and Classifying Angles

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Measuring and Classifying Angles

Measuring and Classifying Angles

Protractor and angles illustration

📐 Part 1: Classifying Angles

1. Circle the correct classification for each angle description:

a) An angle measuring 45°

Acute

Right

Obtuse

Straight

b) An angle measuring 120°

Acute

Right

Obtuse

Reflex

c) An angle measuring 270°

Acute

Obtuse

Straight

Reflex

2. Fill in the blanks with the correct angle classifications:

a) Angles less than 90° are called _____________ angles.

b) An angle that measures exactly 90° is a _____________ angle.

c) Angles between 90° and 180° are _____________ angles.

d) An angle measuring exactly 180° is a _____________ angle.

e) Angles greater than 180° are called _____________ angles.

📏 Part 2: Measuring Angles with a Protractor

3. Use your protractor to measure these angles. Write your answer to the nearest degree:

Angle A = _______° Classification: _______________

Angle B = _______° Classification: _______________

Angle C = _______° Classification: _______________

4. Draw and label the following angles using your protractor:

a) Draw a 65° angle

b) Draw a 135° angle

🔄 Part 3: Angle Relationships

5. Complete these angle relationship rules:

a) Angles at a point sum to _______°

b) Angles on a straight line sum to _______°

c) The sum of interior angles in a triangle is _______°

d) The sum of interior angles in a quadrilateral is _______°

e) Vertically opposite angles are _____________

6. Calculate the missing angles. Show your working:

a) In a triangle, two angles measure 40° and 85°. What is the third angle?

Third angle = _______°

b) Angles on a straight line measure 110° and x°. Find x.

x = _______°

c) Three angles at a point measure 95°, 140°, and y°. Find y.

y = _______°

🎨 Part 4: Geometric Design Challenge

7. Design your own geometric pattern that includes:

At least one acute angle

At least one right angle

At least one obtuse angle

At least one triangle

At least one quadrilateral

Draw your design below and label the different types of angles:

8. Describe your geometric design:

🧠 Part 5: Problem Solving

9. Match each angle measurement with its correct classification:
1. 30°
2. 90°
3. 150°
4. 180°
5. 300°
A. Right angle
B. Obtuse angle
C. Acute angle
D. Straight angle
E. Reflex angle
10. Real-world angles: Where might you find these types of angles in everyday life?

Acute angles: ________________________________

Right angles: ________________________________

Obtuse angles: ______________________________

Straight angles: _____________________________

11. Challenge problem: In a quadrilateral, three angles measure 75°, 110°, and 85°. What type of angle is the fourth angle?

The fourth angle measures _______° and is a _____________ angle.

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